Table 7.
Comparison between different swarm intelligence algorithms on 20-D problems.
| BFs | SSA | MSWOA | MSCA | COGBSO | |
|---|---|---|---|---|---|
| F1 | Mean | 2.43E−09 | 2.55E−65 | 1.73E−64 | 8.07E−66 |
| Std | 4.40E−10 | 6.17E−66 | 6.69E−64 | 1.87E−65 | |
| Min | 1.84E−09 | 1.05E−66 | 2.46E−65 | 8.53E−69 | |
| Max | 3.35E−09 | 1.59E−65 | 2.59E−63 | 7.12E−65 | |
| F2 | Mean | 3.58E+03 | 2.70E−63 | 8.64E−63 | 1.10E−64 |
| Std | 2.62E+03 | 4.91E−64 | 3.35E−62 | 1.88E−64 | |
| Min | 4.60E+02 | 1.03E−64 | 2.67E−79 | 1.61E−67 | |
| Max | 1.06E+04 | 1.33E−63 | 1.30E−61 | 6.33E−64 | |
| F3 | Mean | 6.67E+00 | 4.60E−54 | 5.25E−49 | 3.11E−55 |
| Std | 6.62E+00 | 1.04E−54 | 2.03E−48 | 7.43E−55 | |
| Min | 1.44E−01 | 3.38E−55 | 2.09E−57 | 4.17E−59 | |
| Max | 1.92E+01 | 2.19E−54 | 7.88E−48 | 2.19E−54 | |
| F4 | Mean | 3.81E+01 | 9.85E−66 | 6.44E−64 | 3.48E−66 |
| Std | 2.45E+01 | 1.26E−65 | 8.33E−64 | 8.20E−66 | |
| Min | 1.02E+01 | 2.64E−66 | 4.32E−65 | 1.16E−69 | |
| Max | 1.12E+02 | 3.23E−65 | 5.16E−63 | 3.23E−65 | |
| F5 | Mean | 3.83E−04 | 0.00E+00 | 4.88E−48 | 2.09E−49 |
| Std | 8.33E−05 | 0.00E+00 | 1.39E−47 | 3.46E−49 | |
| Min | 2.02E−04 | 0.00E+00 | 1.06E−51 | 2.18E−52 | |
| Max | 4.84E−04 | 0.00E+00 | 5.07E−47 | 1.00E−48 | |
| F6 | Mean | 9.72E−11 | 2.93E−01 | 1.69E+01 | 5.43E−08 |
| Std | 3.16E−18 | 1.07E+00 | 6.05E−01 | 2.15E−08 | |
| Min | 9.72E−11 | 1.33E−09 | 1.61E+01 | 2.09E−08 | |
| Max | 9.72E−11 | 4.14E+00 | 1.80E+01 | 8.46E−08 | |
| F7 | Mean | 3.57E+00 | −1.33E−15 | −1.33E−15 | 2.22E−15 |
| Std | 0.00E+00 | 0.00E+00 | 0.00E+00 | 8.17E−31 | |
| Min | 3.57E+00 | −1.33E−15 | −1.33E−15 | 2.22E−15 | |
| Max | 3.57E+00 | −1.33E−15 | −1.33E−15 | 2.22E−15 | |
| F8 | Mean | 6.28E−05 | 3.88E−05 | 1.33E−41 | 1.48E−17 |
| Std | 9.86E−06 | 1.50E−04 | 4.75E−41 | 5.73E−17 | |
| Min | 5.10E−05 | 0.00E+00 | 8.60E−67 | 1.02E−39 | |
| Max | 8.19E−05 | 5.83E−04 | 1.84E−40 | 2.22E−16 | |
| F9 | Mean | 6.86E−09 | 0.00E+00 | 0.00E+00 | 1.31E−03 |
| Std | 1.93E−09 | 0.00E+00 | 0.00E+00 | 5.09E−03 | |
| Min | 3.43E−09 | 0.00E+00 | 0.00E+00 | 0.00E+00 | |
| Max | 1.02E−08 | 0.00E+00 | 0.00E+00 | 1.97E−02 | |
| F10 | Mean | 1.99E+01 | 1.27E+01 | 1.56E+01 | 1.05E+01 |
| Std | 2.31E−10 | 3.61E+00 | 4.23E+00 | 3.94E+00 | |
| Min | 1.99E+01 | 1.89E+01 | 5.64E+00 | 2.89E+00 | |
| Max | 1.99E+01 | 9.95E+00 | 2.39E+01 | 1.89E+01 | |
| F11 | Mean | 1.92E−04 | 7.90E−32 | 5.63E−31 | 3.70E−36 |
| Std | 2.04E−05 | 8.88E−32 | 2.13E−30 | 7.08E−36 | |
| Min | 1.68E−04 | 6.40E−32 | 2.25E−37 | 1.34E−46 | |
| Max | 2.32E−04 | 9.40E−32 | 8.26E−30 | 2.15E−35 | |
| F12 | Mean | 1.00E+00 | 7.10E−15 | 3.75E−22 | 2.72E−16 |
| Std | 4.60E−16 | 1.02E−16 | 1.05E−21 | 4.11E−16 | |
| Min | 1.00E+00 | 4.77E−17 | 1.80E−38 | 2.28E−17 | |
| Max | 1.00E+00 | 1.98E−14 | 3.75E−21 | 1.59E−15 | |
| F13 | Mean | 3.05E−56 | 0.00E+00 | 1.35E−182 | 1.58E−211 |
| Std | 4.14E−56 | 0.00E+00 | 0.00E+00 | 0.00E+00 | |
| Min | 3.90E−58 | 0.00E+00 | 3.36E−193 | 2.32E−223 | |
| Max | 1.55E−55 | 0.00E+00 | 2.03E−181 | 2.01E−210 | |
| F14 | Mean | 1.97E−04 | 7.90E−223 | 7.98E−40 | 8.69E−34 |
| Std | 1.90E−05 | 0.00E+00 | 2.99E−39 | 1.55E−33 | |
| Min | 1.66E−04 | 4.40E−223 | 4.33E−55 | 5.97E−35 | |
| Max | 2.25E−04 | 8.90E−223 | 1.16E−38 | 6.28E−33 | |
| F15 | Mean | 1.92E−12 | 5.11E−01 | 1.37E+01 | 1.04E−30 |
| Std | 6.77E−19 | 7.96E−01 | 2.75E+00 | 1.12E−30 | |
| Min | 1.92E−12 | 6.11E−03 | 4.15E+00 | 0.00E+00 | |
| Max | 1.92E−12 | 1.81E+00 | 1.60E+01 | 4.19E−30 | |
Optimal mean values are in bold.